Brian Allen

activity

20152023

most citedProperties of the Null Distance and Spacetime Convergence

25 citations · 102 across the 18 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.DG2017★ 2 cited

Long Time Existence of IMCF on Metrics Conformal to Warped Product Manifolds

Brian Allen

In this paper we study Inverse Mean Curvature Flow (IMCF) on manifolds that are conformal to a warped product manifold. To this end, we show how the gradient conformal vector field…

math.DG2017★ 8 cited

Stability of the Positive Mass Theorem and Riemannian Penrose Inequality for Asymptotically Hyperbolic Manifolds Foliated by Inverse Mean Curvature Flow

Brian Allen

We study the stability of the Positive Mass Theorem (PMT) and the Riemannian Penrose Inequality (RPI) in the case where a region of an asymptotically hyperbolic manifold $M^{3}$ can…

math.DG2017★ 10 cited

Inverse Mean Curvature Flow and the Stability of the Positive Mass Theorem and Riemannian Penrose Inequality Under $L^{2}$ Metric Convergence

Brian Allen

We study the stability of the Positive Mass Theorem (PMT) and the Riemannian Penrose Inequality (RPI) in the case where a region of an asymptotically flat manifold $M^{3}$ can be fol…

Long Time Existence of IMCF on Metrics Conformal to Warped Product Manifolds

Stability of the Positive Mass Theorem and Riemannian Penrose Inequality for Asymptotically Hyperbolic Manifolds Foliated by Inverse Mean Curvature Flow

Inverse Mean Curvature Flow and the Stability of the Positive Mass Theorem and Riemannian Penrose Inequality Under L2 Metric Convergence

Inverse Mean Curvature Flow and the Stability of the Positive Mass Theorem and Riemannian Penrose Inequality Under $L^{2}$ Metric Convergence